Measures of Central Tendency and Variation Review

The Grant basketball team had an average (mean) score of 71 points for its first 5 games of the season. What was the total number of points they had scored?

• 355

• 365

• 375

• 385

• 425

Five truck drivers averaged using 62 gallons of fuel driving between Wiz-land and Bonterra. Four of the truckers used an average of 60 gallons. How many gallons of fuel did the fifth driver use?

• 60

• 61

• 62

• 66

• 70

An alchemist averaged using 88 ingredients in her first 5 potions and 96 ingredients in the next 3. What was her average number of ingredients?

• 88

• 90

• 91

• 92

• 94

On a biology quiz, 7 students got an 80, 10 got a 90, and 3 got a 100. What was the average score for these students?

• 80

• 88

• 90

• 92

• 100

1, 2, 3, 3, 4, 5, 5, 5, 6, 6, 7

What is the upper quartile (Q3) of this set?

• 7

• 1

• 6

• 5

• 2

The statistics below provide a summary of IQ scores of 100 children.

Mean: 100

Median: 102

Standard Deviation: 10

Lower Quartile (Q1): 84

Upper Quartile (Q3): 110

About 50 of the children in this sample have IQ scores that are:

• Less than 84

• Less than 110

• Between 84 and 110

• Between 64 and 130

• More than 100

A class recently took a test. The average score on the test was an 82%, with a standard deviation of 5. Which of the following conclusions are true

• Most student scored exactly 82%

• Most students scored between 77% and 87%

• 5 students scored exactly 82%

• The lowest test score was 5%

The dot plots show the distributions of scores on a current events quiz for two classes of 24 students each. Which of the following statements about the standard deviations of the two distributions is true?

• The standard deviation of quiz scores in Class A is less than that of quiz scores in Class B

• The standard deviation of quiz scores in Class A is greater than that of quiz scores in Class B

• The standard deviation of quiz scores in Class A is equal to that of quiz scores in Class B

• There is not enough information to compare the standard deviations

• Mean

• Median

• Range

• They will all change by the same amount

A survey was taken of the value of homes in a county, and it was found that the mean home value was $165,000 and the median home value was $125,000. Which of the following situations could explain the difference between the mean and the median home values in the county?

• The homes have values that are close to each other

• There are a few homes that are valued much less than the rest

• There are a few homes that are valued much more than the rest

• Many homes have values between $125,000 and $165,000